查询词典 spline weight

Though comparing Canny operator and center B spline dyadic wavelet, the following conclusion is proven in this dissertation: a Center B spline function has tight support and Canny operator hasn't. b Center B spline function asymptotic convergence to Gaussian function and the derivative of Center B spline function asymptotic convergence to Canny operator. c The derivative of fourth order center spline B function is more suitable as a optimal edge detector than Canny operator. d Center B spline function can balance the smoothing and approximation of original data, and the fourth center B spline function is the only optimal solution of two order smoothing problem. e The error between the valve of time-frequency uncertainty of the fourth center B spline function and the lower bound of time-frequency uncertainty does not exceed 0.143% of the lower bound. f The derivative of center spline B function can construct a stability dyadic wavelet and can give a fast algorithm for multiscale edge detection, but Canny operator can do neither.

作者给出了Canny算子与中心B样条二进小波严格的比较证明，得出如下结论：a中心B样条函数具有紧支集，Canny算子不具有紧支集。b中心B样条函数的极限收敛于高斯函数，中心B样条函数的导数收敛于Canny算子。c四阶中心B样条函数的导数比Canny算子更接近最佳边缘检测滤波器。d中心B样条函数比高斯函数更能兼顾对原函数平滑和逼近的折中要求，并且四阶中心B样条函数是二阶逼近问题的唯一最优解。e四阶中心B样条函数的时频测不准关系值与时频测不准关系下界的逼近误差不超过0.143％。f中心B样条函数的导数可以构成稳定的二进小波，存在快速的多尺度算法；而Canny算子不构成稳定的二进小波，无法给出快速的多尺度算法。

In this paper, we have made a systemic theoretic research on modelling and reshaping several types of spline curves/surfaces in CAGD. And some creative productions are given as follows. At first, the uniform C-B-spline basis is proved to be a normalized totally positive basis, and can be extended to a normalized B-basis. C-B-spline and C-Bézier basis, similar to B-spline basis and Bézier basis in algebraic space, are two bases in algebraic trigonometric space.

本文围绕着CAGD中常用的几种曲线曲面造型和形状调整进行了深入的研究，主要获得了以下一些成果：首先，证明了代数三角空间中的n次均匀C-B-spline基是一组标准全正基，并进一步扩充为一组标准B基。C-B-spline基与C-Bézier基是多项式与三角混合空间中的两组基，是适应工程实践中设计特殊曲线曲面的需要而产生的，类似于多项式空间中的B-spline基与Bézier基，是CAGD中重要的造型工具。

Experiments show that C-B spline curve, uniform B-spline with shape parameter, hyperbolic polynomial uniform B-spline with shape parameter and trigonometric polynomial uniform B-spline with shape parameter can be used to produce some frequently used free form curves in the industrial field when the shape parameter is assigned with some specific values.

通过调整形状参数来修改曲线形状是计算机辅助几何设计中一个非常活跃的研究课题，研究形状参数的变化对样条曲线形状的影响，对于增加曲线造型的灵活性是非常必要的。

Experiments show that C-B spline curve, uniform B-spline with shape parameter, hyperbolic polynomial uniform B-spline with shape parameter and trigonometric polynomial uniform B-spline with shape parameter can be used to produce some frequently used free form curves in the industrial field when the shape parameter is assigned with some specific values. This process is simpler than producing these free form curves by using controlling vertex.

实验证明，C-B样条曲线、带形状参数的均匀B样条曲线、带形状参数双曲多项式的均匀B样条曲线、带形状参数三角多项式的均匀B样条曲线都可利用形状参数的特定取值表示一些工业领域常用的自由曲线，这比起用控制顶点表示同样的自由曲线更为简单。

1 Rectangular spline Processing of convenience, can be used to obtain high precision grinding method, but usually use within the spline spline broach, spline hole for the unreasonable can not be processed, had to use slotting processing, low accuracy.

1.1 矩形花键加工方便，可用磨削方法获得较高的精度，但内花键通常要用花键拉刀，对于不通孔的花键就无法加工，只好用插削加工，精度较低。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某一参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

Spline Broach complexity of the design process, the geometric parameters, many of which need to look-up table and complex calculation to determine the parameters of a certain size, Design Spline Broach all forms and formulas into C language are procedures, through a simple C program calls, importation Spline Broach the technical parameters can be accurately its design parameters, Finally, all the parameters of integrated print out data tables, thus simplifying the complex Spline Broach design process, and meet the design requirements.

花键拉刀设计过程复杂，几何参数多，许多都需要查表和复杂的计算来确定某1参数尺寸，把花键拉刀设计中所有表格和计算公式都编成C语言程序，通过简单的C程序调用，输入花键拉刀的技术参数就可以准确得到其设计参数，最后把所有的参数值综合打印出数据表格，从而简化了复杂的花键拉刀设计过程，且达到了设计的要求。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快，稳定性好；③提出了一种基于样条函数拟和的学习算法，由于样条函数具有很好的柔韧性和二次光滑性，将网络输入函数和连接权函数用样条函数的形式表示，可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题，从而可借助于现有的神经网络学习算法训练过程神经元网络；④建立了一种基于Walsh函数变换的学习算法，利用Walsh函数系的完备正交性，可大大降低网络计算的复杂度。

In this dissertation, many works have been done on the basis of the summarization of the merits of all kinds of meshless methods after a large number of relevant references are read and studied. The basic ideas, principles of meshless methods and their development in the recent years are introduced synoptically. Applications of Element-free Galerkin method in elastic foundation plate are studied deeply and some useful conclusions are obtained as follows:(1) Comparisons between numerical solutions and analytical solutions for several different styles of weight functions, including Gaussian weight function, spline weight function and singular weight function etc, are performed. The results show that Gaussian weight function is the best one.(2) Ranges of relevant parameters for Gaussian weight function are given.(3) Influences of nodal distribution schemes and the number of Gaussian integrated dots on computational results are discussed.

在本文中，作者在认真阅读和研究所搜集到的大量参考文献、综合各种无网格法优点的基础上，首先，对无网格法的基本思想、基本原理、发展现状作了概括性的介绍；其次，对无单元Galerkin法在弹性地基板计算中的应用进行了较为深入的探讨：(1)分别对高斯型、样条型、奇异型等不同形式的权函数进行比较分析，数值计算结果与级数解析解的比较表明，高斯型权函数效果较好：(2)对高斯型权函数进行参数研究，得到地基板计算中相关参数的选取范围；(3)对不同节点分布方案和不同高斯积分对计算结果的影响等作了有益的讨论。

The second layer (10) comprises: 100 parts by weight of an acrylonitrile-butadiene rubber, said acrylonitrile rubber comprising from 20 to 65 percent by weight of bound acrylonitrile; from 3 to 20 parts by weight, per 100 parts by weight of the NBR, of at least one acid acceptor; from 1 to 10 parts by weight, per 100 parts by weight of the NBR, of at least one organophosphonium salt; and from 0.25 to 10 parts by weight, per 100 parts by weight of the NBR, of at least one amidine.

公开的是一种包含直接相互接触的第一层与第二层的软管；第一层包含从四氟乙烯、六氟丙烯、偏二氟乙烯、和全氟乙烯醚衍生的一种热塑性四元共聚物；第二层包含100重量份丙烯腈丁二烯橡胶，所述丙烯腈橡胶包含约20～约65wt％结合丙烯腈；每100重量份NBR约3～约20重量份至少一种酸受体；每100重量份NBR约1～约10重量份至少一种有机盐；和每100重量份NBR约0.25～约10重量份至少一种脒。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。